4140120210414 has 32 divisors (see below), whose sum is σ = 8951611274880. Its totient is φ = 1272071073312.

The previous prime is 4140120210409. The next prime is 4140120210431.

4140120210414 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4140120210414³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490763944 + ... + 490772379.

It is an arithmetic number, because the mean of its divisors is an integer number (279737852340).

Almost surely, 2^{4140120210414} is an apocalyptic number.

4140120210414 is an abundant number, since it is smaller than the sum of its proper divisors (4811491064466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4140120210414 is a wasteful number, since it uses less digits than its factorization.

4140120210414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981536384.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4140120 and 210414, that added together give a palindrome (4350534).

The spelling of 4140120210414 in words is "four trillion, one hundred forty billion, one hundred twenty million, two hundred ten thousand, four hundred fourteen".